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Author Yoon, Yongsung
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword PHYSICS OF ELEMENTARY PARTICLES AND FIELDS ♦ QUANTUM FIELD THEORY ♦ RESEARCH PROGRAMS ♦ DIMENSIONS ♦ FIELD EQUATIONS ♦ GAUGE INVARIANCE ♦ NONLINEAR PROBLEMS ♦ SCHROEDINGER EQUATION ♦ SU GROUPS ♦ VORTICES ♦ YANG-MILLS THEORY ♦ DIFFERENTIAL EQUATIONS ♦ EQUATIONS ♦ FIELD THEORIES ♦ INVARIANCE PRINCIPLES ♦ LIE GROUPS ♦ PARTIAL DIFFERENTIAL EQUATIONS ♦ SYMMETRY GROUPS ♦ WAVE EQUATIONS ♦ General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
Abstract The two-dimensional self-dual equations are the governing equations of the static zero-energy vortex solutions for the non-relativistic, non-Abelian Chern-Simons models. The zero modes of the non-relativistic vortices are examined by index calculation for the self-dual equations. The index for the self-dual equations is zero for non-Abelian groups, but a non-zero index is obtained by the Toda Ansatz which reduces the self-dual equations to the Toda equations. The number of zero modes for the non-relativistic Toda vortices is 2 {Sigma}{sub {alpha},{beta}}{sup r}K{sub {alpha}{beta}}Q{sup {beta}} which is twice the total number of isolated zeros of the vortex functions. For the affine Toda system, there are additional adjoint zero modes which give a zero index for the SU(N) group.
ISSN 00034916
Educational Use Research
Learning Resource Type Article
Publisher Date 1991-11-01
Publisher Place United States
Journal Annals of Physics
Volume Number 211
Issue Number 2


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